Prove the Following Statement: the Sum of Any Two Consecutive

question 5

Essay

Prove the following statement: The sum of any two consecutive integers can be written in the form 4n + 1 for some integer n.

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Definitions:

Cost Function

A mathematical relation that describes how production costs change with variations in the level of output.

Competitive Price

A pricing strategy that aims to attract customers by setting product prices similar or lower than rivals in the market.

Tragedy Of The Commons

A situation in which individuals, acting independently and rationally according to their own self-interest, behave contrary to the best interests of the whole by depleting or spoiling shared resources.

Nash Equilibrium

A situation in a non-cooperative game where no player can benefit by changing strategies while the other players keep theirs unchanged.